Respuesta :
Answer:
0.67
Step-by-step explanation:
z = (x-μ)/σ, where
x is the raw score = 5.6 seconds
μ is the population mean = 5.2 seconds
σ is the population standard deviation = 0.3 seconds
z = 5.6 - 5.2/0.3
z = 0.66667
z score is approximately 0.67
The z-score for a player who runs a time of 5.6 seconds is 0.67
The z-score for a player who runs a time of 5.6 seconds will be approximately 1.33.
What is a z-score?
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.
Then the z-score for a player who runs a time of 5.6 seconds will be
[tex]z = \dfrac{x-\mu}{\sigma }\\\\\\z = \dfrac{5.6 - 5.2}{0.3}\\\\\\z = \dfrac{0.4}{0.3}\\\\\\z = 1.3333[/tex]
Then the value of the z-score approximately is 1.33.
More about the z-score link is given below.
https://brainly.com/question/15016913
